top of page
  • Writer's pictureMerry Havens

Math Trick for Multiplying numbers 2 apart

Updated: Oct 25, 2019

For example, if you are multiplying 19 x 21, do this:

square the middle number (multiply it by itself) 20 x 20 = 400

subtract 1, there's your answer: 399


Practice: 29 x 31

square the middle number (30 x 30) = 900

subtract 1, there's your answer: 899


It works with single digits, try 5 x 7


try 4 x 6


but it's really handy for the bigger numbers.


Try 99 x 101


100 x 100 is 10,000, so the answer is 9,999


OK, ready for the slightly more challenging ones?

Try 23 x 25.....try it on your own before scrolling to the answer....





24 x 24 is (24 x 20 ( 480) + 4 x 24 (96) = 576) - 1 = 575

You might be (rightfully) asking "How is this easier than just multiplying 23 x 25?"

A: It's just another tool in your toolbox of strategies, giving you more options to choose from. You'll see it's easier to use this method if the middle number is easy to square.

6 views0 comments

Recent Posts

See All

Solving Linear Equations

Linear equations come in many forms. Easy conversion between the different forms can come in very useful for solving linear equations and graphing. Slope Intercept form: y = mx + b where m is

Solving 2 variable equations

There are basically 2 types of 2-variable equations you will be asked to solve. The first type is asking, what is y when x is _____? For example, for the linear equation y = 3x + 4....what is y whe

Solving single variable problems (basic algebra)

A single variable equation looks something like this: 3 x + 4 = 2x + 12 or this: x^2 = 144 Here are some foundations you need: 1. know orders of operations (GEMS or PEMDAS). That means, you

bottom of page